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Finding the Fourth Proportional to 19,999.50, 30,000.73 and 7,687.50

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Solution

The fourth proportional to 19,999.50, 30,000.73 and 7,687.50 is: 11,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.50 : 30,000.73 = 7,687.50 : x
  2. Step 2: Convert to fraction form
    19,999.50/30,000.73 = 7,687.50/x
  3. Step 3: Cross multiply
    19,999.50x = 30,000.73 × 7,687.50
  4. Step 4: Simplify right side
    19,999.50x = 230,630,611.88
  5. Step 5: Solve for x
    x = 230,630,611.88/19,999.50
  6. Step 6: Final answer
    x = 11,531.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.